## Virtual Signature in comparison to Virtual Euler Characteristic |

**Ranja Roy**

May 17, 2000

3 pm

Bailey Hall 106

Refreshments in the common room at 2:45 pm

C.T.C. Wall [1961] defined the virtual Euler characteristic of an arbitrary group G of finite homological type as a rational number. Ken Brown [1974] proved that m.(virtual Euler characteristic) is an integer, where m is the least common multiple of the orders of finite subgroups of G. Analogous to the definition of virtual Euler characteristic, we define the virtual signature. It turns out that an analogous theorem regarding the denominator is false in the virtual signature case. The talk will be be kept as self contained as possible.

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